Factoring: GCF and Difference of Squares

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)
• 3abc(6ab³ + 8b²c)
• 6abc(3ab³ + 4c)
• 6ab3c(3b + 4c)

What is the greatest common factor of the two terms in the expression x⁵y²+x²y⁷z

• x²
• x²y²z
• x²y²
• x⁵y⁷z

Factor
5ab²c¹¹ + 2bc⁵

• bc⁵(5ab²c⁶ + 2b)
• bc⁵(5abc⁶ + 2)
• b²c⁵(5bc⁶ + 2)
• c4(5a²b²c⁷ + 2bc)

Factor
-10xy⁹z + 8y³z⁵

• 2y⁴z(-20xy⁶ + 4z⁴)
• 2y³z(-5xy⁶ +4z⁴)
• 2y³z(-5xy⁶z + 4z⁵)
• 2y³z(-5xy⁶z + 8z⁴)

Factor
12j²k³ - 20hj

• 4j(3jk³ - 5h)
• 4j(6jk³ - 10h)
• 4j(3jk² - 5h)
• 4j²(24j²k³ - 20h)

Factor
-64a⁴b - 96ab³ + 8a

• 8a(-8a³b - 12b³ + a)
• 8ab(-8a³ + 12b² + 1)
• 8a(8a³b - 12b² + 1)
• 8a(-8a³b - 12b³ + 1)

Tags

CCSS.HSA.APR.C.4

What is the greatest common factor in the three terms -96xy - 144x - 84

• 12
• -12
• 12x
• -12x

What is the greatest common factor of the three terms in the expression
 -96xy - 144x - 84

• 12x
• -12
• -12xy
• 12

Tags

CCSS.7.EE.A.1

Undistribute the following polynomial
10x + 10x² + 10x³ + 10x⁴ + 10x⁵

• x(10x + 10x² + 10x³ + 10x⁴)
• 10(x² + x³ + x⁴ + x⁵)
• 10x(1 + x + x² + x³ + x⁴)
• 10x(x + x² + x³ + x⁴ + x⁵)

Tags

CCSS.7.EE.A.1

Factor:
56a³-8a

• 8a²(56a³-8a)
• 8a(7a²-1)
• 8a(7a³-a)
• 8a²(35a²-a)

Tags

CCSS.HSA.APR.C.4